Difference between revisions of "Beta distributions"

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Lets generate a beta distribution using the ''rbeta'' built in R function.  
 
Lets generate a beta distribution using the ''rbeta'' built in R function.  
 
<table class=document-code><tr><td>
 
<table class=document-code><tr><td>
 +
quartz()
 
  # Alter the parameters
 
  # Alter the parameters
 
  n <- 1000 # Number of observations
 
  n <- 1000 # Number of observations

Revision as of 03:24, 2 August 2006

Beta distributions

For details on the beta distribution see WikiPedia:Beta distribution. Notice that thee distribution is symmetric for the parameters p, and q (α & β in the Wikipedia article formula), and that the x axis range is from 0 to 1, a probability.

R programming language

For help on functions which create/manipulate beta distributions see;

?beta # or help(beta) ?rbeta # or help(rbeta)

Usage examples are provided at;

example(beta)
example(rbeta)
example(dbeta)
example(pbeta)
example(qbeta)

Lets generate a beta distribution using the rbeta built in R function.

quartz()

# Alter the parameters
n <- 1000 # Number of observations
p <- 0.1   
q <- 0.1
x <- rbeta(n, shape1= p, shape2=q)
breaks <- seq(0,1, length=21)
hist(x, breaks=breaks, freq=FALSE)
lines(density(x, adjust=0.4), col="red")

See also

BetaDistributions.R